Free Printable Trigonometry

1.

Find the missing side of this right angled triangle...

a)

16.1cm

b)

11.4cm

c)

16.2cm

d)

11.5cm

2.

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

a)

5.2 m

b)

5.3 m

c)

5.7 m

d)

5.8 m

3.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

4.

The side labelled as "a" is called the

a)

Opposite

b)

Adjacent

c)

Hypotenuse

5.

Which Trig function do you use to find y ?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagoras

6.

solve for c

a)

7

b)

9

c)

4

d)

13

7.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

8.

Find r and s.

a)

r = 9, s = 9√3

b)

r = 18, s = 9

c)

r = 9√3, s = 9

d)

r = 18, s = 9√3

9.

Simplify (Hint: you will need to FOIL first)

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

10.

Simplify

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

11.

What function does the graph represent?

a)

sin(x)

b)

cos(x)

c)

sin^-1(x)

d)

cos^-1(x)

12.

How many degrees are in a triangle?

a)

360

b)

180

c)

90

d)

45

13.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

14.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

15.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

16.

a)

18.9

b)

19.5

c)

47

d)

27.5

17.

Find h₂

a)

16.73 ft

b)

22.51 ft

c)

18.59 ft

d)

20.79 ft

18.

Find h₁

a)

6.69 ft

b)

11.11 ft

c)

9.00 ft

d)

7.43 ft

19.

$\cot^2\ x+1\ =$

a)

$\sin^{2\ }x$

b)

$\csc^{2\ }x$

c)

$\cos^{2\ }x$

d)

1

20.

$\csc\ x\ \cdot\cos\ x=$

a)

$\sin\ x$

b)

1

c)

$\tan\ x$

d)

$\cot\ x$

21.

$\sec\ x\cdot\cot\ x=$

a)

1

b)

$\csc\ x$

c)

$\tan\ x$

d)

$\sin\ x$

22.

$\left(\sin^{2\ }+\cos^{2\ }x\right)\left(\sec^{2\ }x-\tan^2x\right)\left(\csc^{2\ }x-\cot^2x\right)=$

a)

0

b)

1

c)

d)

3

23.

$\cot\ x\cdot\tan x=$

a)

$\frac{\sin x}{\cos\ x}$

b)

$\frac{\cos\ x}{\sin\ x}$

c)

0

d)

1

24.

$\frac{\left(1-\cos^{2\ }x\right)}{\cos^{2\ }x}$

a)

$\cos^2\ x$

b)

$\cot^{2\ }x$

c)

1

d)

$\tan^2\ x$

25.

$\sec x\ +\frac{1}{\cos\ x}=$

a)

1

b)

0

c)

$\frac{2}{\cos\ x}$

d)

$\frac{2}{\cos^{2\ }x}$

Trigonometry - revision

Total questions: 25

Worksheet time: 50mins

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